{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MGN7FONUY276IGJ373WDUEXKMP","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"bf0c5cb671454925f7b4fa88af3ecbae06b29178e362e86e5cba40d60cd945ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-10-30T18:06:26Z","title_canon_sha256":"d874f1f5fc5ef1d3e2ed2e6bd9436a4bfc4a0e3279d9192a9bc2e8c5fe662c84"},"schema_version":"1.0","source":{"id":"1310.8249","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.8249","created_at":"2026-05-18T02:59:05Z"},{"alias_kind":"arxiv_version","alias_value":"1310.8249v3","created_at":"2026-05-18T02:59:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.8249","created_at":"2026-05-18T02:59:05Z"},{"alias_kind":"pith_short_12","alias_value":"MGN7FONUY276","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MGN7FONUY276IGJ3","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MGN7FONU","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:4a67cda1773830553dd7db5f202baa1026dc701f064e5ca82f679ee7a7795a70","target":"graph","created_at":"2026-05-18T02:59:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We analyze a possible minimal counterexample to the Jacobian Conjecture $P,Q$ with $\\gcd(deg(P),deg(Q))=16$ and show that its existence depends only on the existence of solutions for a certain Abel differential equation of the second kind.","authors_text":"Christian Valqui, Jorge Alberto Guccione, Juan Jos\\'e Guccione","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-10-30T18:06:26Z","title":"A differential equation for polynomials related to the Jacobian conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.8249","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5d5783963e11225bb4dd1367931ecaad0cc16fd1422703969f0900d6dd5815e1","target":"record","created_at":"2026-05-18T02:59:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"bf0c5cb671454925f7b4fa88af3ecbae06b29178e362e86e5cba40d60cd945ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2013-10-30T18:06:26Z","title_canon_sha256":"d874f1f5fc5ef1d3e2ed2e6bd9436a4bfc4a0e3279d9192a9bc2e8c5fe662c84"},"schema_version":"1.0","source":{"id":"1310.8249","kind":"arxiv","version":3}},"canonical_sha256":"619bf2b9b4c6bfe4193bfeec3a12ea63dc718e5d11ddeb5a6a82924558529155","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"619bf2b9b4c6bfe4193bfeec3a12ea63dc718e5d11ddeb5a6a82924558529155","first_computed_at":"2026-05-18T02:59:05.925551Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:05.925551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c/oS5ov/GycfiPfoGu1RKPChwBZryhXe95C8FRilJ1c429cPAauKh01wStR9DBE1nniRKKESSibrMyi0SP34Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:05.926172Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.8249","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d5783963e11225bb4dd1367931ecaad0cc16fd1422703969f0900d6dd5815e1","sha256:4a67cda1773830553dd7db5f202baa1026dc701f064e5ca82f679ee7a7795a70"],"state_sha256":"6b7bfc95755b29be2baa167e968e8bd89ee58bbd66e9c316538f2a65418f18ba"}